10101111000101 has 16 divisors (see below), whose sum is σ = 11232501501888. Its totient is φ = 9006937872000.

The previous prime is 10101111000089. The next prime is 10101111000157. The reversal of 10101111000101 is 10100011110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101111000101 is a prime.

It is a super-2 number, since 2×10101111000101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111090101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42366680 + ... + 42604433.

It is an arithmetic number, because the mean of its divisors is an integer number (702031343868).

Almost surely, 2^{10101111000101} is an apocalyptic number.

10101111000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101111000101 is a deficient number, since it is larger than the sum of its proper divisors (1131390501787).

10101111000101 is a wasteful number, since it uses less digits than its factorization.

10101111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84971332.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10101111000101 its reverse (10100011110101), we get a palindrome (20201122110202).

It can be divided in two parts, 1010 and 1111000101, that added together give a palindrome (1111001111).

The spelling of 10101111000101 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred one", and thus it is an aban number.